Answer:
[tex]-3u + 5g =-58i -25j[/tex]
Step-by-step explanation:
Given
[tex]u = 6i - 10j[/tex]
[tex]g=-8i - 11j[/tex]
Required
[tex]-3u + 5g[/tex]
We have:
[tex]-3u + 5g[/tex]
This gives:
[tex]-3u + 5g = -3(6i - 10j) + 5(-8i - 11j)[/tex]
Open bracket
[tex]-3u + 5g = -18i + 30j - 40i - 55j[/tex]
Collect like terms
[tex]-3u + 5g = -18i - 40i+ 30j - 55j[/tex]
[tex]-3u + 5g =-58i -25j[/tex]
What digit is in the hundreds place of 39, 487?
Answer:
4
Step-by-step explanation:
When renting a limo for prom, the number of people varies inversely with the cost per person. Originally
there were 6 people and the cost per person was $34. If the number of people changed to 12, what would be
the new cost per person?
A state trooper temp track of the number of speeding ticket he gave out each week over the course of seven weeks in the table below 1 38 2 33 3 51 5 57 6 38 7 40 which of the following statements best describes the data in the table
Answer:
B: The center of data is shown by the mean, which is 43.
Step-by-step explanation:
Add up all the digits (33+38+38+40+44+51+57)/7=43 the mean. The mean is always teh center of data so it's B. Hope this helps.
HELPPPPPPPPPP FAST PLSSSSSSSSSSSSSSSSSSSSS
Admission to a Museum is $30 for adults and $20 for students. The freshman class is attending a field trip
with teacher chaperones. Mr. Frees collects $6050 total from teachers and students, and 297 total people
go on the field trip. How many students and teachers attended?
Use s for # of students and a for # of adults
A) Write the equation representing the total number of people who went to the Museum
B) Write the equation representing the total amount of money collected
Now solve your system on your own paper
C) Number of students attending:
D) Number of adults attending:
Submit Question
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Answer:
A) a + s = 297
B) 30a +20s = 6050
C) 286 students
D) 11 adults
Step-by-step explanation:
A) Total people is the sum of the numbers of adults and students:
a + s = 297
__
B) Total revenue is the sum of revenue from each class of attendees:
30a +20s = 6050
The solution is ...
30a + 20(297 -a) = 6050 . . . there were 297-a students
10a = 110 . . . . . . . . . . . . . . . . subtract 5940
a = 11
s = 297 -11 = 286
__
C) 286 students attended.
__
D) 11 adults attended.
Consider the right triangle with hypotenuse 5, horizontal leg x , vertical leg y , and angle ∅ opposite y. How can we view x as depending on y? How can we view x as depending on ∅ ? Explain by using appropriate relationships in the triangle and writing x both as a function of y and as a function of ∅ .
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Answer:
x = √(25 -y²)x = 5cos(Ф)Step-by-step explanation:
The Pythagorean theorem relates the sides of a right triangle.
x² + y² = 5²
x² = 25 -y²
x = √(25 -y²)
__
The cosine function relates the adjacent side and the hypotenuse of an acute angle in a right triangle.
Cos = Adjacent/Hypotenuse
Adjacent = Hypotenuse × Cos
x = 5·cos(Ф)
What is the volume of a cube that has a side of 4 units?
Answer: 64units³
Step-by-step explanation:
The volume of a cube will be gotten by multiplying the value of its side thrice. This means that for example if the cube has a side of xcm, the volume will be:
= x × x × x
= x³
In this case, since the cube has a side of 4 units, the volume will be:
Volume of cube = 4³
Volume of cube = 4 × 4 × 4 = 64unit³
PLEASE HURRY
The graph of the function g(x) is a transformation of the parent
function f(x)x^2
Which equation describes the function g?
Answer:
3rd option. [tex]g(x)=x^{2} +2[/tex]
The circumference of the circle is about
Answer:
C=2rPi
Step-by-step explanation:
The circumference of a circle is the 2 times the radius and Pi
A tortoise crawling at a rate of 0.1 mi/h passes a resting hare. The hare wants to rest another 30 min
before chasing the tortoise at the rate of 5 mi/h. How many feet must the hare run to catch the tortoise?
Answer:
The rabbit will run 264feet to get to the tortoise
Step-by-step explanation:
To solve this problem perfectly, we need to take note of the units and conversions involved.
The speed of the tortoise is 0.1 mi/hr
The speed of the hare is 5mi/hr
If the hare rests for another 30 minutes before he starts running the race, We are to get the distance covered by the tortoise under this 30 minutes.
The tortoise runs 0.1 miles in 1 hour
The tortoise will run x miles in 0.5 hours.
x = 0.5 X 0.1 = 0.05 miles.
Therefore, the distance covered by the Tortoise within 30 minutes is 0.05 miles.
The hare will have to run for 0.05 miles before he can catch up to the tortoise.
It is now unit conversion comes into play. We are converting the 0.05 miles to feet so we can get our final answer.
The answer in feet is 264 feet.
Therefore, the rabbit will run 264feet to get to the tortoise
Find the solutions of the quadratic equation 5x^2−x+6=0.
Answer:
there is a problem b is -1 because of the invisible 1 so when I solved it I got a negative 119 so I can't get the square root please check the question I'll try to resolve it
What is the volume of the solid if a 6 inch (diameter hole is drilled all the way
Answer:
1,467.6 cm³
Step-by-step explanation:
Volume of the solid = volume of the rectangular prism - volume of the cylinder
= L*W*H - πr²h
L = 12
W = 10
H = 16
r = ½(6) = 3
h = 16
Plug in the values
Volume of the solid = 12*10*16 - π*3²*16
= 1,920 - 452.40
= 1,467.6 cm³
Helpppppppppppppp plsssss
Which angle has a positive measure?
Answer:
what angles
Step-by-step explanation:
i do not see anything to solve
Which table shows a proportional relationship?
Answer:
Table D (the last option)
Step-by-step explanation:
The table that shows a proportional relationship between x and y is the table where the value of y/x for all pair of values on the table are the same and equal.
k = y/x
Thus, in table D,
-8/1 = -24/3 = -32/4 = -48/6 = -8
This shows that the table represents a proportional relationship.
i need help..................
Answer:
what is your favorite color
which subject do the students in my class like
what is the height of each student in my class
Step-by-step explanation:
Find the missing side
you made a batch of 24 cookies for school your brother ate 7 of them without asking you. What fraction of your cookies are left?
Please Help ASAP
Find the expected value of the
random variable with the
following probability distribution:
0
1
2
3
4
5
6
7
8
P
.03
.15
.27
.20
.13
.10
.07
.03
.02
Answer:
3.1
Step-by-step explanation:
In order to solve for this expected value, you need to do:
(0*0.3)+(1*0.15)+(2*.27)+(3*20)+(4*.13)+(5*.10)+(6*.07)+(7*0.3)+(8*0.2)
Meaning that it is:
0+.15+.54+.6+.52+.5+.42+.21+.16
Which equals to: 3.1
Also: Feel free to correct my answer by any means, I feel like I got some parts wrong.
Answer:
The answer is, 3.1
Step-by-step explanation:
Definition of probability distribution:A probability distribution is a statistical function that describes all of the potential values and probabilities for a random variable within a particular range.
To find this predicted value, you must do the following:[tex](0*0.3)+(1*0.15)+(2*.27)+(3*20)+(4*.13)+(5*.10)+(6*.07)+(7*0.3)+(8*0.2)[/tex]
That is to say, it is:
[tex]0+.15+.54+.6+.52+.5+.42+.21+.16[/tex]
3.1 is the value of the random variable.
To know more about probability distribution here, https://brainly.com/question/9385303
#SPJ2
Write the algebraic expression that matches each graph:
Answer:
follow me and I will answer it
Suppose that 40% of cars in your area are manufactured in the U.S., 30% in Japan, 10% in Germany, and 20% in other
countries. Determine the following probabilities.
a. a car selected at random is made in Germany or Japan
b. a car selected at random is not US-made
c. two cars are selected at random, both are from Japan
Complete your work in the space provided or upload a file that can display math symbols if your work requires it. Include
your calculations in your answer.
Answer:
A) The probability that a randomly chosen car is made in Germany or Japan is 40%.
B) The probability that a car chosen at random is not made in the United States is 60%.
C) The probability that two randomly chosen cars are both from Japan is 9%.
Step-by-step explanation:
Supposing that 40% of cars in my area are manufactured in the US, 30% in Japan, 10% in Germany, and 20% in other countries, to determine the probabilities that a car selected at random is made in Germany or Japan, a car selected at random is not US-made and two cars are selected at random, both are from Japan, the following calculations must be performed:
A)
(30 + 10) / 100 = X
40/100 = X
0.4 = X
Therefore, the probability that a randomly chosen car is made in Germany or Japan is 40%.
B)
(30 + 10 + 20) / 100 = X
60/100 = X
0.6 = X
Therefore, the probability that a car chosen at random is not made in the United States is 60%.
C)
10/30 x 10/30 = X
0.3 x 0.3 = X
0.09 = X
Therefore, the probability that two randomly chosen cars are both from Japan is 9%.
A dump truck weighs 11.2511.25 tons when empty. A conveyor belt pours sand into the truck at a constant rate of \frac{1}{4}
4
1
ton per minute until it is full.
Let tt represent the elapsed time in minutes. Let ww represent the weight of the truck after tt minutes.
Write an equation for ww in terms of tt.
Enter your equation in the box provided. Enter only your equation.
w=w=
1
$$
Part B
The dump truck from Part A weighs 1818 tons when filled. At the same time the dump truck is being filled, an identical dump truck filled to capacity is being emptied at a rate of \frac{1}{8}
8
1
ton per minute.
How much sand is in each dump truck when the trucks are the same weight?
Enter your answer in the box.
Answer:
Step-by-step explanation:
A. For this case, the first thing we must do is define variables.
We have then:
t: time in minutes
The linear equation that represents the problem is given by:
w (t) = (1/4) t + 11.25
Answer:
An equation for W in terms if T is:
w (t) = (1/4) t + 11.25
B. Answer:2 .25 Tons
Step-by-step explanation:
Weight of truck + sand when filled= 18 tons
Discharge rate per minute= 1/8 tons/ minute
Quantity of sand in the truck will be:
1/8tons per minute×18tons = 9/4 = 2.25tons
What is the volume of this shape to the nearest tenth
Trigonometry is the worst please someone answer this for me ... no links please
Answer: Approximately 22.62 degrees
===============================================
Work Shown:
cos(angle) = adjacent/hypotenuse
cos(y) = 12/13
y = arccos(12/13)
y = 22.6198649
y = 22.62
Notes:
Arccosine is the same as inverse cosine. On your calculator there should be a button labeled [tex]\cos^{-1}[/tex]Make sure your calculator is in degree modeThe decimal result for y, shown above, is approximate. I rounded to two decimal places to show the final answer. Round however you need to if your teacher instructs otherwise.HELP PLEASE!!
Explain the error in the following exercise;
then correct it.
Answer:
2/1x7/6=14/6=7/3
Step-by-step explanation:
Multiply the 2 by the 7 but Not the 6. So the second number is 14/6, not 14/12.
‘Then simplify 14/6 to 7/3
If f(x)=-2xsquared+x-5 what is f(3)
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Answer:
-20
Step-by-step explanation:
Put 3 where x is and do the arithmetic.
f(3) = -2·3² +3 -5
f(3) = -2·9 +3 -5 = -18 +3 -5 = -15 -5
f(3) = -20
_____
Sometimes it is easier to evaluate polynomials when they are written in Horner form:
f(x) = (-2x +1)x -5
f(3) = (-2·3 +1)(3) -5 = -5(3) -5 = -20
Aside from the vertex, the horizontal cross-sectional shapes of this pyramid
are all similar rectangles.
O A. True
B. False
52x33 please help lol
Answer:
1716.
Step-by-step explanation:
52 x 33 = 1716
Plzzzzz help for a brainly
Answer:
I think it would be C. 1/6. not for sure though
Step-by-step explanation:
Evaluate each series.
Help pls 50 points
Answer:
1. 2,555
2. 23.25
Step-by-step explanation:
1. 5+10+20+...
S9 = 5(2^9-1)/(2-1)
= 5(511) = 2,555
2. 12+6+3+1.5+0.75 = 23.25
